Ask question

Ask question

All categories

2 years ago

5

In this assignment, you will explore how the volume is changed when you adjust the height or radius of a cylinder. You will drag

points of reference on an interactive tool to represent various changes. The interactive will display the changed volume visually and in the calculations and dimensions. You will then use what you see happening to answer questions.

1 answer:

lesantik [10]2 years ago

8 0

The volume of a cylinder changes when you adjust the height or radius as the volume either increases or reduces.

<h3>How to illustrate the volume?</h3>

Let's assume that the height and radius are 14cm and 7cm. The volume will be:

= πr²h

= 3.14 × 7² × 14

= 2154.04cm³

When the radius and height are reduced to 5cm and 9cm, the volume will be:

= πr²h

= 3.14 × 5² × 9

= 706.5cm³

This illustrates that the volume reduces when the height and radius reduces.

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

You might be interested in

F(x)= 9-x^2, x ≥ 0. f^-1(x)=??

julia-pushkina [17]

$y=9-x^{2},\ x\ge0$

Reverse $x$ and $y$ :
$x=9-y^{2},\ y\ge0$
Solve for $y$ :
$x=9-y^{2}$
$\rightarrow y^{2}=9-x$
$\rightarrow y=\sqrt{9-x}$ since $y\ge0$

7 0

3 years ago

How does knowing multiplication rules help solve problems faster and easier

KengaRu [80]

Answer: It helps because you already know it off the top of your head and you are able to break up a multiplication problem step by step in your head.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Jessica, Kareem, and Lamar served a total of 64 orders Monday at the school cafeteria. Jessica served 8 fewer orders than Lamar.

sergey [27]

Answer:

Jessica: 10 orders

Lamar: 18 orders

Kareem: 36 orders

Step-by-step explanation:

Let's first designate each person with a letter.

The number of orders served by Jessica can be designated as $J$

The number of orders served by Kareem can be designated as $K$

The number of orders served by Lamar can be designated as $L$

We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.

$J+K+L=64$

We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, $J$ , being equal to Lamar's orders $L$ minus 8.

$J = L-8$

Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, $K$ , being 2 times Lamar's orders $L$ .

$K = 2L$

With these 2 equalities, we can substitute $J$ and $K$ in our original equation,

$J+K+L=64$

with their values expressed as a subtraction or multiplication of $L$ .

$J$ will be substituted with $L-8$ , and $K$ will be substituted with $2L$ .

$J+K+L=64$

With substitutions:

$(L-8) + 2L + L = 64$

We can simplify this by combining the L-terms:

$L + 2L + L -8 = 64\\4L - 8 = 64$

Next, we'll add 8 to both sides.

$4L = 72$

Divide both sides by 4:

$L = 18$

Thus, Lamar served 18 orders.

Using our expressions, we can find how many orders the others served.

Jessica:

$J = L-8\\J = 18 -8\\J = 10$

Jessica served 10 orders.

Kareem:

$K = 2L\\K = 2*18\\K = 36$

Kareem served 36 orders.

4 0

3 years ago

The question is below

Anna35 [415]

Answer:

12) A = 27

13) B = 36

14) C = 25

15) D = 30

Step-by-step explanation:

We need to complete the ratio tables

We are given:

Footballs 15 5 20 C D

Baseballs A 9 B 45 54

The table shows the ratio of footballs to baseballs.

We are given the ratio $\frac{Football}{Baseball}=\frac{5}{9}$

All other ratios will also be simplified to get $\frac{5}{9}$

12) Calculate A

Footballs = 15

Baseballs = A

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 15, same number will be multiplied by denominator to get A.

We know that $\frac{5\times3}{9\times3}= \frac{15}{27}$

So, A = 27

13) Calculate B

Footballs = 20

Baseballs = B

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 20, same number will be multiplied by denominator to get B.

We know that $\frac{5\times4}{9\times4}= \frac{20}{36}$

So, B = 36

14) Calculate C

Footballs = C

Baseballs = 45

Common ratio is 5/9, we need to find a number that multiplies by 9 to get 45, same number will be multiplied by numerator to get C.

We know that $\frac{5\times5}{9\times5}= \frac{25}{45}$

So, C = 25

15) Calculate D

Footballs = D

Baseballs = 54

Common ratio is 5/9, we need to find a number that multiplied by 9 to get 54, same number will be multiplied by numerator to get D.

We know that $\frac{5\times6}{9\times6}= \frac{30}{54}$

So, D = 30

8 0

3 years ago

You paid $44 to a loan company for the use of $1,153 for 119 days, what annual rate of interest did they charge? (Assume a 360-d

Zigmanuir [339]

Answer:

Ans. A) The annual rate that the company charged was 11.996%; B) if they charged you 11.186% annual rate, you would have to pay $41.14

Step-by-step explanation:

Hi, first we have to find out what is the effective 119 days rate and then turn it into an annual rate. This is as follows.

$r(Effective119Days)=\frac{44}{1,153} x100=0.038161$

So the charged rate was 3.816% effective, 119 days, now let´s make it an annual rate.

$r(annual)=(1+0.038161)^{\frac{360}{119} } -1=0.119965$

This means that the equivalent rate to 3.816% effective 119 days ys 11.996% effective annually (or just annual).

Now, if they were to charge you 11.186% annual, you would have to make this rate effective 119 days, and then, multiply it by the principal ($1,153). Let´s change the rate first.

$r(Effective119Days)=(1+0.11186)^{\frac{119}{360} -1}=0.03568$

And the money that you will have to pay in interest is $1,153*0.03568=$41.14

Best of luck

7 0

3 years ago